SOLUTION: if P(x)= x^3 + 3x^2 - 10x and P(x)/x-1= R/x-1 an expression for Q(x) is

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Question 1181598: if P(x)= x^3 + 3x^2 - 10x and P(x)/x-1= R/x-1 an expression for Q(x) is
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if P%28x%29=+x%5E3+%2B+3x%5E2+-+10x and P%28x%29%2F%28x-1%29=+R%2F%28x-1%29 an expression for Q%28x%29 is
........(x%5E2%2B4x-6
%28x-1%29| x%5E3+%2B+3x%5E2+-+10x
.........x%5E3-x%5E2...............subtract and bring+-+10x down
.................4x%5E2+-+10x
.................4x%5E2+-4x.........subtract
......................... -6x+%2B0
......................... -6x+%2B6.......subtract
................................ -6 ->reminder R=-6
=>Q%28x%29=x%5E2%2B4x-6
R%2F%28x-1%29=-6%2F%28x-1%29
x%5E3+%2B+3+x%5E2+-+10+x+=+%28x%5E2+%2B+4+x+-+6%29+%2A+%28x+-+1%29+-6


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
if P(x)= x^3 + 3x^2 - 10x and P(x)/x-1= R/x-1 an expression for Q(x) is
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Notice that in the post,  the question asks about  Q(x),  but the problem  DOES  NOT  DEFINE  what   Q(x)   is.


THEREFORE,  the  "problem"  is  DEFECTIVE.


The enthusiasm, with which @MathLover1 rushes up to solve nonsensical problems, surprises me.